two bodies of masses m1 and m2 have same momentum .Find ratios of kinetic energy
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1
Kinetic Energy of a body in terms of momentum
Therefore the ratio of Kinetic energy
p1 = p2 ( given )
So,
Above is your answer.
Note:
p1 & m1 is momentum and mass of body 1
p2 & m2 is momentum and mass of body 2
Therefore the ratio of Kinetic energy
p1 = p2 ( given )
So,
Above is your answer.
Note:
p1 & m1 is momentum and mass of body 1
p2 & m2 is momentum and mass of body 2
Answered by
0
Given: Two bodies of masses m₁ and m₂ have same momentum.
To find: the ratio of their kinetic energy.
Solution: We know from the relationship between kinetic energy and momentum that:
K.E. = p²/ 2m ____(1)
Momentum of the masses is equal implying:
p₁ = p₂ = p _____(2)
From (1), (2) and as per the question:
K.E.₁/ K.E.₂ = p²/ 2m₁ × 2m₂/ p²
K.E.₁/ K.E.₂ = m₂ / m₁
Hence, the ratio of kinetic energy is m₂ : m₁.
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